Theorems · Theorem · number theory
schnirelmannDensity_le_one
∀ {A : Set ℕ} [inst : DecidablePred fun x => x ∈ A], schnirelmannDensity A ≤ 1- Defined in
- Mathlib.Combinatorics.Schnirelmann
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidablePred
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- Nat.cast_oneproof · cited by 2,501
- Finset.cardproof · cited by 2,327
- Finset.filterproof · cited by 949
- one_ne_zeroproof · cited by 885
- div_oneproof · cited by 629
- Finset.Iocproof · cited by 301
- schnirelmannDensitystatement · cited by 35
- Finset.card_filter_leproof · cited by 16
- Nat.cast_le_oneproof · cited by 6
- schnirelmannDensity_le_of_leproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- schnirelmannDensity_le_of_notMemproof · cited by 2
- schnirelmannDensity_eq_one_iffproof · cited by 1